Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2011-02-07
A.P.Kuznetsov, I.R.Sataev, L.V.Turukina. On the road towards multidimensional tori. Communications in Nonlinear Science and Nu
Nonlinear Sciences
Chaotic Dynamics
Scientific paper
The problem of persistence of four-frequency tori is considered in models represented by the coupled periodically driven self-oscillators. We show that the adding the third oscillator gives rise to destruction of the three-frequency tori, with appearance of regions of either chaotic attractors or four-frequency tori. As the coupling strength decreases, the four-frequency tori dominate, and the amplitude threshold of their occurrence vanishes. Also, for three oscillators, a domain of complete synchronization of the system by the external driving can disappear.
Kuznetsov Alexander P.
Sataev Igor R.
Turukina L. V.
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